Regular and Irregular Polygons Worksheet
Understand and identify regular and irregular polygons, their properties, and angle calculations.
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Regular and Irregular Polygons
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Read each question carefully and answer to the best of your ability. Show all your work for calculation problems.
1. Which of the following statements is true for a regular polygon?
All sides are equal in length, but angles may differ.
All angles are equal in measure, but sides may differ.
All sides are equal in length, and all angles are equal in measure.
It must have at least one right angle.
2. An irregular polygon is defined by:
Having all sides equal.
Having all angles equal.
Sides and angles are not all equal.
Having at least five sides.
3. A polygon with all equal sides and all equal angles is called a polygon.
4. The sum of the interior angles of a polygon with 'n' sides is given by the formula (n - 2) * degrees.
5. A polygon that is not regular is called an polygon.
6. All squares are regular polygons.
True
False
7. A rectangle is always a regular polygon.
True
False
8. Draw an example of a regular hexagon and label its sides and angles.
9. Draw an example of an irregular quadrilateral and explain why it is irregular.
10. A regular octagon has sides of length 7 cm. Calculate the sum of its interior angles and the measure of each interior angle.
11. Explain the key differences between a regular polygon and an irregular polygon, providing examples of each.